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Prove the identity sec^2 x * tan^2 + sec^2 x = sec ^4 x. show all work.

User Hugues
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Answer:

see explanation

Explanation:

using the trigonometric identity

• tan²x + 1 = sec²x

consider the left side

sec²x × tan²x + sec²x ← factor out sec²x from each term

= sec²x( tan²x + 1)

= sec²x (sec²x )

=
sec^(4)x

= right side , thus proven

User KoreanDude
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